350 citations · 593 across the 18 of their papers we have counts for
4 papers · 2 filters
Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods
David A. Kopriva
We perform stability analyses for discontinuous Galerkin spectral element approximations of linear variable coefficient hyperbolic systems in three dimensional domains with curved…
Insights on aliasing driven instabilities for advection equations with application to Gauss-Lobatto discontinuous Galerkin methods
Juan Manzanero, Gonzalo Rubio, Esteban Ferrer +2
We analyse instabilities due to aliasing errors when solving one dimensional non-constant advection speed equations and discuss means to alleviate these types of errors when using…
A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods
David A. Kopriva
We introduce a polynomial spectral calculus that follows from the summation by parts property of the Legendre-Gauss-Lobatto quadrature. We use the calculus to simplify the analysis…
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations
Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang +1
We show how to modify the original Bassi and Rebay scheme (BR1) [F. Bassi and S. Rebay, A High Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the…